Geodesic
On the existence and constancy of sign of Green's function of scalar equations of high order with almost periodic coefficients
Izvestiya. Mathematics, Tome 3 (1969) no. 6, pp. 1319-1334 
V. Sh. Burd; Yu. S. Kolesov; M. A. Krasnosel'skii. On the existence and constancy of sign of Green's function of scalar equations of high order with almost periodic coefficients. Izvestiya. Mathematics, Tome 3 (1969) no. 6, pp. 1319-1334. http://geodesic.mathdoc.fr/item/IM2_1969_3_6_a9/
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     title = {On the existence and constancy of sign of {Green's} function of scalar equations of high order with almost periodic coefficients},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The conditions of positivity and negativity of the Green's function of a linear scalar differential operator of the second and higher orders with almost periodic coefficients are investigated.

[1] Burd V. Sh., Kolesov Yu. S., Krasnoselskii M. A., “Issledovanie funktsii Grina differentsialnykh operatorov s pochti periodicheskimi koeffitsientami”, Izv. AN SSSR. Ser. matem., 33 (1960), 1089–1119 | MR

[2] Levin A. Yu., “O neostsillyatsii reshenii uravneniya $x^{(n)}+p_1(t)x^{(n-1)}+p_n(t)x=0$”, Uspekhi matem. nauk, XXIV:2(146) (1969), 43–96

[3] Petrovskii I. G., Lektsii po teorii obyknovennykh differentsialnykh uravnenii, Fizmatgiz, M., 1963 | MR

[4] Sobol I. M., “Granichnoe reshenie uravneniya Rikkati i ego primenenie k issledovaniyu reshenii lineinogo differentsialnogo uravneniya vtorogo poryadka”, Matematika, t. 5, Uch. zap. MGU, 155, 1952, 195–205 | MR

[5] Halanay A., “Solutions presquepériodiques de s'equations de Riccati”, Acad. Repub. Pop. Romane. Stud. Cere. Mat., 4 (1953), 345–354 | MR | Zbl

[6] Markus L., Moore R. A., “Oscillation and disconiugacy for linear differential equations with almost periodic coefficients”, Acta Mathematica, 96 (1956), 99–123 | DOI | MR | Zbl